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A330519
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Circulant determinant chain starting at 1007749
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1
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1007749, 18791108, -186878195, -1050017609, -9619142907, -4098030816, -59235488169, -43035664380, -25214990766, -189627605493, 779029018560, 14532890711040, 364989611366055, 1929185790836472, -1121729573175075, 13492031465869425, 329600773788765624
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OFFSET
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1,1
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COMMENTS
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Form a circulant matrix from a given number. Find the determinant. Use that determinant to form the next circulant matrix. Repeat. If a determinant is negative, multiply each element of the next matrix by -1. 1007749 is the smallest number whose chain appears to increase without bound. (It would be nice to have a proof that this chain is unbounded!)
If we had started at 247, the next term in the chain, and all subsequent terms, would be 247, since (see A219324)
..........| 2 4 7 |
..........| 4 7 2 |
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KEYWORD
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sign,base
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AUTHOR
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STATUS
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approved
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